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Alla [95]
2 years ago
13

Dan wants to make trail mix made up of almonds, pecans, and raisins. He wants a mix of one part almonds, two parts pecans, and t

hree parts raisins. Almonds cost $12 per pound, pecans cost $8 per pound, and raisins cost $4 per pound. Dan has $30 to spend on the trail mix. Which equation can be used to find how many pounds of trail mix he can buy for $30? A) 12x + 8x + 43x = 30 B) 12x + 8x + 43x = 90 C) 12x + 8(2x) + 4(3x) = 30 D) 12x + 8(2x) + 4(3x) = 90
Mathematics
1 answer:
Novay_Z [31]2 years ago
7 0

The right answer is Option C.

Step-by-step explanation:

Let,

x be the quantity of almonds, pecans and raisins.

One part almonds = x

Two part pecans = 2x

Three part raisins = 3x

Cost of almonds per pound = $12

Cost of x almonds = 12x

Cost of pecans per pound = $8

Cost of 2x pecans = 8(2x)

Cost of raisins per pound = $4

Cost of 3x raisins = 4(3x)

Total amount Dan has = $30

According to given statement;

12x + 8(2x) + 4(3x) = 30

Therefore,

The right answer is Option C.

Keywords: Linear equations, addition

Learn more about linear equations at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417

#LearnwithBrainly

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CHARITY Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of much of a $100-allowance will he give to a charity?
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Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of a $100-allowance will he give to a charity?
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3 years ago
1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
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Answer:

a. y-intercept = 23350 and x-intercept = 13

b. m = -\frac{23350}{13}

c. y = -\frac{23350}{13}x + 23350

Step-by-step explanation:

Given

Years = 13

Total\ depreciation = \$23350

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

m = \frac{23350}{13}

Because it is depreciation, it means the slope represents a deduction.

So,

m = -\frac{23350}{13}

Solving (c): The straight line equation

The general format of an equation is:

y = mx + b

Where

m = slope

b = y\ intercept

In (a), we have that:

y\ intercept = 23350

In (b), we have that:

Slope\ (m) = -\frac{23350}{13}

Substitute these values in y = mx + b

y = -\frac{23350}{13}x + 23350

<em>Hence, the depreciation equation is: </em>y = -\frac{23350}{13}x + 23350<em></em>

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